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Finding the Fourth Proportional to 8,139.74, 11,234.12 and 5,900.80

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Solution

The fourth proportional to 8,139.74, 11,234.12 and 5,900.80 is: 8,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.74 : 11,234.12 = 5,900.80 : x
  2. Step 2: Convert to fraction form
    8,139.74/11,234.12 = 5,900.80/x
  3. Step 3: Cross multiply
    8,139.74x = 11,234.12 × 5,900.80
  4. Step 4: Simplify right side
    8,139.74x = 66,290,275.37
  5. Step 5: Solve for x
    x = 66,290,275.37/8,139.74
  6. Step 6: Final answer
    x = 8,144.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.